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Finding the Fourth Proportional to 753.85, 1,130.98 and 681.56

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Solution

The fourth proportional to 753.85, 1,130.98 and 681.56 is: 1,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.85 : 1,130.98 = 681.56 : x
  2. Step 2: Convert to fraction form
    753.85/1,130.98 = 681.56/x
  3. Step 3: Cross multiply
    753.85x = 1,130.98 × 681.56
  4. Step 4: Simplify right side
    753.85x = 770,823.37
  5. Step 5: Solve for x
    x = 770,823.37/753.85
  6. Step 6: Final answer
    x = 1,022.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.